What is the Greatest Common Factor of 15205 and 15225?

Greatest common factor (GCF) of 15205 and 15225 is 5.

GCF(15205,15225) = 5

We will now calculate the prime factors of 15205 and 15225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15205 and 15225.

How to find the GCF of 15205 and 15225?

We will first find the prime factorization of 15205 and 15225. After we will calculate the factors of 15205 and 15225 and find the biggest common factor number .

Step-1: Prime Factorization of 15205

Prime factors of 15205 are 5, 3041. Prime factorization of 15205 in exponential form is:

15205 = 5¹ × 3041¹

Step-2: Prime Factorization of 15225

Prime factors of 15225 are 3, 5, 7, 29. Prime factorization of 15225 in exponential form is:

15225 = 3¹ × 5² × 7¹ × 29¹

Step-3: Factors of 15205

List of positive integer factors of 15205 that divides 15205 without a remainder.

1, 5, 3041

Step-4: Factors of 15225

List of positive integer factors of 15225 that divides 15205 without a remainder.

1, 3, 5, 7, 15, 21, 25, 29, 35, 75, 87, 105, 145, 175, 203, 435, 525, 609, 725, 1015, 2175, 3045, 5075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15205 and 15225. The biggest common factor number is the GCF number.
So the greatest common factor 15205 and 15225 is 5.

Also check out the Least Common Multiple of 15205 and 15225